If α, β are the zeros of polynomial f(x) = x² – p (x + 1) – c, then (α + 1) (β + 1) =

(a) c – 1
(b) 1 – c
(c) c
(d) 1 + c

If a and b are the zeros of the quadratic polynomial p(s) = 3s² – 6s + 4, find the value of 
 is

1) 4
2) 8
3) 6
4) 3

The zeroes of the quadratic polynomial x² + 99x + 127 are

1) both positive
2) both negative
3) both equal
4) one positive and one negative

If the polynomial  x³ + 2x² - αx - 12   is divided by   (x - 4)  the remainder is 52. Find the value of 

1) 11 / 2
2) - 5
3) 8
4)  - 8

If a and b are the roots (zeros) of the polynomial f(x) = x² – 3x + k such that α – β= 1, find the value of k.

1) 1
2) 4
3) 2
4) 5